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Extrema in optimization problems realizing the uniformity principle

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Cybernetics and Systems Analysis Aims and scope

Abstract

We consider extremum points of compact sets with a weak majorization relation. Examples of problems are presented for which these extremum points are optimal solutions.

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Literature Cited

  1. N. Meggido, “Optimal flows in networks with multiple sources and sinks,” Math. Program.,7, 97–107 (1974).

    Google Scholar 

  2. N. K. Belenova, “Problem of uniform flow distribution in a network,” Zh. Vychisl. Mat. Mat. Fiz.,21, No. 5, 1116–1125 (1981).

    Google Scholar 

  3. V. G. Vizing, “A schedule ensuring the most uniform loading of machines,” Dokl. Akad. Nauk SSSR,280, No. 3, 525–528 (1985).

    Google Scholar 

  4. G. H. Hardy, J.E. Littlewood, and G. Polya, Inequalities [Russian translation], IL, Moscow (1948).

    Google Scholar 

  5. A. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications [Russian translation], Mir, Moscow (1983).

    Google Scholar 

  6. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  7. L. R. Ford and D. R. Fulkerson, Flows in Networks, Princeton Univ. Press, NJ (1962).

    Google Scholar 

  8. G. M. Adel'son-Vel'skii, S. A. Dinits, and A. V. Karzanov, Flow Algorithms [in Russian], Nauka, Moscow (1975).

    Google Scholar 

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Additional information

Translated from Kibernetika, No. 1, pp. 80–85, January–February, 1991.

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Vizing, V.G. Extrema in optimization problems realizing the uniformity principle. Cybern Syst Anal 27, 108–115 (1991). https://doi.org/10.1007/BF01068653

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  • DOI: https://doi.org/10.1007/BF01068653

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